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Finding the Fourth Proportional to 252,071.37, 347,854.40 and 137,351.54

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Solution

The fourth proportional to 252,071.37, 347,854.40 and 137,351.54 is: 189,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,071.37 : 347,854.40 = 137,351.54 : x
  2. Step 2: Convert to fraction form
    252,071.37/347,854.40 = 137,351.54/x
  3. Step 3: Cross multiply
    252,071.37x = 347,854.40 × 137,351.54
  4. Step 4: Simplify right side
    252,071.37x = 47,778,338,748.79
  5. Step 5: Solve for x
    x = 47,778,338,748.79/252,071.37
  6. Step 6: Final answer
    x = 189,542.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.